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No. Some manufacturers have resources available to look up serial numbers of firearms they manufactured, though.
ask.com should get you started. You may also try proofhouse.com.
You can visit Browning's website and look through their serial number data. Serial numbers can also be found in the Blue Book of Gun Values and at proofhouse.com
Look up at proofhouse.com
You find a published list of serial numbers for the maker.
You can take a look in my website what's camping items =) Techammock
In most cases the serial number doesn't matter to the value of any 20th or 21st-century US bill. Serial numbers are counters and security devices and in general aren't items of collector interest. The major exception is bills that have "special" or unusual serial numbers; these are collectible among groups who look for particular patterns or other combinations. Low serial numbers (e.g. 00000003) are highly prized because they represent the start of a particular print run. Other collectors look for patterns such as 12345678, numbers that look like dates (20101225), or "radar" notes whose serial numbers read the same backwards and forwards like 35799753.
look on the frame
Look on the frame.
The Browning website has a page enabling you to find your shotgun's age, but you have to know the type of shotgun you own. Go to the page, then click on the type of shotgun it is - there are 15 types - and then reading the page for that gun's serial numbers. Look for the series of serial numbers that includes the one you are interested in: #48162.
proofhouse.com
Look on the butt.